We discuss an atomistic model for heterogeneous nanowires, allowing for dislocations at the interface. We study the limit as the atomic distance converges to zero, considering simultaneously a dimension reduction and the passage from discrete to continuum. Employing the notion of Gamma-convergence, we establish the minimal energies associated to defect-free configurations and configurations with dislocations at the interface, respectively. It turns out that dislocations are favoured if the thickness of the wire is sufficiently large.

Dislocations in nanowire heterostructures: from discrete to continuum / Lazzaroni, Giuliano; Palombaro, M; Schlömerkemper, A.. - In: PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS. - ISSN 1617-7061. - 13:1(2013), pp. 541-544. (Intervento presentato al convegno 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) tenutosi a Novi Sad (Serbia) nel 18-22/03/2013) [DOI: 10.1002/pamm.201310260].

Dislocations in nanowire heterostructures: from discrete to continuum

2013-01-01

Abstract

We discuss an atomistic model for heterogeneous nanowires, allowing for dislocations at the interface. We study the limit as the atomic distance converges to zero, considering simultaneously a dimension reduction and the passage from discrete to continuum. Employing the notion of Gamma-convergence, we establish the minimal energies associated to defect-free configurations and configurations with dislocations at the interface, respectively. It turns out that dislocations are favoured if the thickness of the wire is sufficiently large.
2013
13
1
541
544
http://onlinelibrary.wiley.com/doi/10.1002/pamm.201310260/abstract
Lazzaroni, Giuliano; Palombaro, M; Schlömerkemper, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/33413
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